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Finding the Fourth Proportional to 98,482.74, 147,724.35 and 39,323.22

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Solution

The fourth proportional to 98,482.74, 147,724.35 and 39,323.22 is: 58,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,482.74 : 147,724.35 = 39,323.22 : x
  2. Step 2: Convert to fraction form
    98,482.74/147,724.35 = 39,323.22/x
  3. Step 3: Cross multiply
    98,482.74x = 147,724.35 × 39,323.22
  4. Step 4: Simplify right side
    98,482.74x = 5,808,997,114.41
  5. Step 5: Solve for x
    x = 5,808,997,114.41/98,482.74
  6. Step 6: Final answer
    x = 58,984.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.